Imaging the quantum Hall effect

A. Yacoby, T. A. Fulton, H. F. Hess, L. N. Pfeiffer, K. W. West

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


Using a single electron transistor mounted on the tip of a scan probe microscope we have imaged the electronic compressibility of a two-dimensional electron gas in the integer quantum Hall regime. The compressibility images show quasi-insulating "incompressible" strips that separate region of electron liquid of near integer filling. The strips follow the contours of constant electron density that match exact occupancy of the Landau levels, and shift accordingly with magnetic field and electron density changes. The surface electrostatic potential distribution has an overall correlation with the compressibility patterns and the density contours marked by them and an abrupt step at the boundaries that provides a direct measure of the energy gap between the Landau levels.

Original languageEnglish (US)
Pages (from-to)65-70
Number of pages6
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number1-2
StatePublished - Dec 2003
Externally publishedYes
EventProceedings of the International Symposium at Quantum Hall Effect - Stuttgart, Germany
Duration: Jul 2 2003Jul 5 2003

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics


  • Compressibility
  • Quantum Hall effect
  • Scanning microscopy
  • Single electron transistor


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